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Finding the Fourth Proportional to 78,284.80, 117,427.20 and 45,004.80

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Solution

The fourth proportional to 78,284.80, 117,427.20 and 45,004.80 is: 67,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284.80 : 117,427.20 = 45,004.80 : x
  2. Step 2: Convert to fraction form
    78,284.80/117,427.20 = 45,004.80/x
  3. Step 3: Cross multiply
    78,284.80x = 117,427.20 × 45,004.80
  4. Step 4: Simplify right side
    78,284.80x = 5,284,787,650.56
  5. Step 5: Solve for x
    x = 5,284,787,650.56/78,284.80
  6. Step 6: Final answer
    x = 67,507.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.